Kyungpook Mathematical Journal

  • 제61권4호
  • /
  • Pages.781-790
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  • 2021
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On *-Conformal Ricci Solitons on a Class of Almost Kenmotsu Manifolds

  • Majhi, Pradip (Department of Pure Mathematics, University of Calcutta) ;
  • Dey, Dibakar (Department of Pure Mathematics, University of Calcutta)
  • 투고 : 2020.10.12
  • 심사 : 2021.10.07
  • 발행 : 2021.12.31
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초록

The goal of this paper is to characterize a class of almost Kenmotsu manifolds admitting *-conformal Ricci solitons. It is shown that if a (2n + 1)-dimensional (k, µ)'-almost Kenmotsu manifold M admits *-conformal Ricci soliton, then the manifold M is *-Ricci flat and locally isometric to ℍn+1(-4) × ℝn. The result is also verified by an example.

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과제정보

The authors would like thank the anonymous referees for their valuable suggestions. The author Dibakar Dey is thankful to the Council of Scientific and Industrial Research, India (File no: 09/028(1010)/2017-EMR-1) for their assistance.

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